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Finding the Third Proportional to 9,432.50 and 21,297.25

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Solution

The third proportional to 9,432.50 and 21,297.25 is: 48,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.50 : 21,297.25 = 21,297.25 : x
  2. Step 2: Convert to fraction form
    9,432.50/21,297.25 = 21,297.25/x
  3. Step 3: Cross multiply
    9,432.50x = 21,297.25 × 21,297.25
  4. Step 4: Simplify right side
    9,432.50x = 453,572,857.56
  5. Step 5: Solve for x
    x = 453,572,857.56/9,432.50
  6. Step 6: Final answer
    x = 48,086.18

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.